Finding the Fourth Proportional to 10,786.58, 16,146.42 and 5,843.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.58 : 16,146.42 = 5,843.96 : x
2. Step 2: Convert to fraction form
   10,786.58/16,146.42 = 5,843.96/x
3. Step 3: Cross multiply
   10,786.58x = 16,146.42 × 5,843.96
4. Step 4: Simplify right side
   10,786.58x = 94,359,032.62
5. Step 5: Solve for x
   x = 94,359,032.62/10,786.58
6. Step 6: Final answer
   x = 8,747.82